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Finding the Fourth Proportional to 578.91, 872.44 and 521.20

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Solution

The fourth proportional to 578.91, 872.44 and 521.20 is: 785.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.91 : 872.44 = 521.20 : x
  2. Step 2: Convert to fraction form
    578.91/872.44 = 521.20/x
  3. Step 3: Cross multiply
    578.91x = 872.44 × 521.20
  4. Step 4: Simplify right side
    578.91x = 454,715.52
  5. Step 5: Solve for x
    x = 454,715.52/578.91
  6. Step 6: Final answer
    x = 785.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.